{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Arterial line study\n",
    "\n",
    "This notebook reproduces the arterial line study in MIMIC-III. The following is an outline of the notebook:\n",
    "\n",
    "1. Generate necessary materialized views in SQL\n",
    "2. Combine materialized views and acquire a single dataframe\n",
    "3. Write this data to file for use in R\n",
    "\n",
    "The R code then evaluates whether an arterial line is associated with mortality after propensity matching.\n",
    "\n",
    "Note that the original arterial line study used a genetic algorithm to select the covariates in the propensity score. We omit the genetic algorithm step, and instead use the final set of covariates described by the authors. For more detail, see:\n",
    "\n",
    "> Hsu DJ, Feng M, Kothari R, Zhou H, Chen KP, Celi LA. The association between indwelling arterial catheters and mortality in hemodynamically stable patients with respiratory failure: a propensity score analysis. CHEST Journal. 2015 Dec 1;148(6):1470-6."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Install OS dependencies.  This only needs to be run once for each new notebook instance.\n",
    "!pip install PyAthena"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from pyathena import connect\n",
    "from pyathena.util import as_pandas\n",
    "from __future__ import print_function\n",
    "\n",
    "# Import libraries\n",
    "import datetime\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import os\n",
    "import boto3\n",
    "from botocore.client import ClientError\n",
    "# below is used to print out pretty pandas dataframes\n",
    "from IPython.display import display, HTML\n",
    "%matplotlib inline\n",
    "\n",
    "\n",
    "s3 = boto3.resource('s3')\n",
    "client = boto3.client(\"sts\")\n",
    "account_id = client.get_caller_identity()[\"Account\"]\n",
    "my_session = boto3.session.Session()\n",
    "region = my_session.region_name\n",
    "athena_query_results_bucket = 'aws-athena-query-results-'+account_id+'-'+region\n",
    "\n",
    "try:\n",
    "    s3.meta.client.head_bucket(Bucket=athena_query_results_bucket)\n",
    "except ClientError:\n",
    "    bucket = s3.create_bucket(Bucket=athena_query_results_bucket)\n",
    "    print('Creating bucket '+athena_query_results_bucket)\n",
    "cursor = connect(s3_staging_dir='s3://'+athena_query_results_bucket+'/athena/temp').cursor()\n",
    "\n",
    "\n",
    "# The Glue database name of your MIMIC-III parquet data\n",
    "gluedatabase=\"mimiciii\"\n",
    "\n",
    "# location of the queries to generate aline specific materialized views\n",
    "aline_path = './'\n",
    "\n",
    "# location of the queries to generate materialized views from the MIMIC code repository\n",
    "concepts_path = './concepts/'"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 1 - Generate materialized views\n",
    "\n",
    "Before generating the aline cohort, we require the following materialized views to be already generated:\n",
    "\n",
    "* angus - from `angus.sql`\n",
    "* heightweight - from `HeightWeightQuery.sql`\n",
    "* aline_vaso_flag - from `aline_vaso_flag.sql`\n",
    "\n",
    "You can generate the above by executing the below codeblock. If you haven't changed the directory structure, the below should work, otherwise you may need to modify the `concepts_path` variable above."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Generating table 'angus_sepsis' using ./concepts/sepsis/angus-awsathena.sql ... done.\n",
      "Generating table 'heightweight' using ./concepts/demographics/HeightWeightQuery-awsathena.sql ... done.\n",
      "Generating table 'aline_vaso_flag' using ./aline_vaso_flag-awsathena.sql ... done.\n",
      "Generating table 'vent_settings' using ./concepts/durations/ventilation-settings-awsathena.sql ... done.\n",
      "Generating table 'vent_durations' using ./concepts/durations/ventilation-durations-awsathena.sql ... done.\n"
     ]
    }
   ],
   "source": [
    "# Load in the query from file\n",
    "query='DROP TABLE IF EXISTS DATABASE.angus_sepsis;'\n",
    "cursor.execute(query.replace(\"DATABASE\", gluedatabase))\n",
    "f = os.path.join(concepts_path,'sepsis/angus-awsathena.sql')\n",
    "with open(f) as fp:\n",
    "    query = ''.join(fp.readlines())\n",
    "    \n",
    "# Execute the query\n",
    "print('Generating table \\'angus_sepsis\\' using {} ...'.format(f),end=' ')\n",
    "cursor.execute(query.replace(\"DATABASE\", gluedatabase))\n",
    "print('done.')\n",
    "\n",
    "# Load in the query from file\n",
    "query='DROP TABLE IF EXISTS DATABASE.heightweight;'\n",
    "cursor.execute(query.replace(\"DATABASE\", gluedatabase))\n",
    "f = os.path.join(concepts_path,'demographics/HeightWeightQuery-awsathena.sql')\n",
    "with open(f) as fp:\n",
    "    query = ''.join(fp.readlines())\n",
    "    \n",
    "# Execute the query\n",
    "print('Generating table \\'heightweight\\' using {} ...'.format(f),end=' ')\n",
    "cursor.execute(query.replace(\"DATABASE\", gluedatabase))\n",
    "print('done.')\n",
    "\n",
    "\n",
    "# Load in the query from file\n",
    "query='DROP TABLE IF EXISTS DATABASE.aline_vaso_flag;'\n",
    "cursor.execute(query.replace(\"DATABASE\", gluedatabase))\n",
    "f = os.path.join(aline_path,'aline_vaso_flag-awsathena.sql')\n",
    "with open(f) as fp:\n",
    "    query = ''.join(fp.readlines())\n",
    "    \n",
    "# Execute the query\n",
    "print('Generating table \\'aline_vaso_flag\\' using {} ...'.format(f),end=' ')\n",
    "cursor.execute(query.replace(\"DATABASE\", gluedatabase))\n",
    "print('done.')\n",
    "\n",
    "\n",
    "# Load in the query from file\n",
    "query='DROP TABLE IF EXISTS DATABASE.ventsettings;'\n",
    "cursor.execute(query.replace(\"DATABASE\", gluedatabase))\n",
    "f = os.path.join(concepts_path,'durations/ventilation-settings-awsathena.sql')\n",
    "with open(f) as fp:\n",
    "    query = ''.join(fp.readlines())\n",
    "    \n",
    "# Execute the query\n",
    "print('Generating table \\'vent_settings\\' using {} ...'.format(f),end=' ')\n",
    "cursor.execute(query.replace(\"DATABASE\", gluedatabase))\n",
    "print('done.')\n",
    "\n",
    "\n",
    "# Load in the query from file\n",
    "query='DROP TABLE IF EXISTS DATABASE.ventdurations;'\n",
    "cursor.execute(query.replace(\"DATABASE\", gluedatabase))\n",
    "f = os.path.join(concepts_path,'durations/ventilation-durations-awsathena.sql')\n",
    "with open(f) as fp:\n",
    "    query = ''.join(fp.readlines())\n",
    "    \n",
    "# Execute the query\n",
    "print('Generating table \\'vent_durations\\' using {} ...'.format(f),end=' ')\n",
    "cursor.execute(query.replace(\"DATABASE\", gluedatabase))\n",
    "print('done.')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we generate the *aline_cohort* table using the aline_cohort.sql file.\n",
    "\n",
    "Afterwards, we can generate the remaining 6 materialized views in any order, as they all depend on only *aline_cohort* and raw MIMIC-III data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Generating table 'aline_cohort_all' using ./aline_cohort-awsathena.sql ... done.\n",
      "Generating table 'aline_cohort' using ./aline_final_cohort-awsathena.sql ... done.\n"
     ]
    }
   ],
   "source": [
    "# Load in the query from file\n",
    "query='DROP TABLE IF EXISTS DATABASE.aline_cohort_all;'\n",
    "cursor.execute(query.replace(\"DATABASE\", gluedatabase))\n",
    "f = os.path.join(aline_path,'aline_cohort-awsathena.sql')\n",
    "with open(f) as fp:\n",
    "    query = ''.join(fp.readlines())\n",
    "    \n",
    "# Execute the query\n",
    "print('Generating table \\'aline_cohort_all\\' using {} ...'.format(f),end=' ')\n",
    "cursor.execute(query.replace(\"DATABASE\", gluedatabase))\n",
    "print('done.')\n",
    "\n",
    "\n",
    "# Load in the query from file\n",
    "query='DROP TABLE IF EXISTS DATABASE.aline_cohort;'\n",
    "cursor.execute(query.replace(\"DATABASE\", gluedatabase))\n",
    "f = os.path.join(aline_path,'aline_final_cohort-awsathena.sql')\n",
    "with open(f) as fp:\n",
    "    query = ''.join(fp.readlines())\n",
    "    \n",
    "# Execute the query\n",
    "print('Generating table \\'aline_cohort\\' using {} ...'.format(f),end=' ')\n",
    "cursor.execute(query.replace(\"DATABASE\", gluedatabase))\n",
    "print('done.')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "14024 - exclusion_readmission\n",
      " 8948 - exclusion_shortstay\n",
      "17399 - exclusion_vasopressors\n",
      "17007 - exclusion_septic\n",
      "12961 - exclusion_aline_before_admission\n",
      "29449 - exclusion_not_ventilated_first24hr\n",
      "15499 - exclusion_service_surgical\n",
      "Will remove 49907 of 52430 patients.\n",
      "\n",
      "\n",
      "Reproducing the flow of the flowchart from Chest paper.\n",
      "52430 - removing 20816 (39.70%) patients - short stay // readmission.\n",
      "31614 - removing 15738 (49.78%) patients - not ventilated in first 24 hours.\n",
      "15876\n",
      "      - removing  5717 (36.01%) patients - additional  5717 36.01% - exclusion_septic\n",
      "      - removing  9110 (57.38%) patients - additional  5751 36.22% - exclusion_vasopressors\n",
      "      - removing  7601 (47.88%) patients - additional  1598 10.07% - exclusion_aline_before_admission\n",
      "      - removing  6747 (42.50%) patients - additional   287 1.81% - exclusion_service_surgical\n",
      "2523 - final cohort.\n"
     ]
    }
   ],
   "source": [
    "query = \"\"\"\n",
    "select\n",
    "icustay_id\n",
    ", exclusion_readmission\n",
    ", exclusion_shortstay\n",
    ", exclusion_vasopressors\n",
    ", exclusion_septic\n",
    ", exclusion_aline_before_admission\n",
    ", exclusion_not_ventilated_first24hr\n",
    ", exclusion_service_surgical\n",
    "from DATABASE.aline_cohort_all\n",
    "\"\"\"\n",
    "\n",
    "cursor.execute(query.replace(\"DATABASE\", gluedatabase))\n",
    "# Load the result of the query into a dataframe\n",
    "df = as_pandas(cursor)\n",
    "\n",
    "# print out exclusions\n",
    "idxRem = df['icustay_id'].isnull()\n",
    "for c in df.columns:\n",
    "    if 'exclusion_' in c:\n",
    "        print('{:5d} - {}'.format(df[c].sum(), c))\n",
    "        idxRem[df[c]==1] = True   \n",
    "        \n",
    "# final exclusion (excl sepsis/something else)\n",
    "print('Will remove {} of {} patients.'.format(np.sum(idxRem), df.shape[0]))\n",
    "\n",
    "\n",
    "print('')\n",
    "print('')\n",
    "print('Reproducing the flow of the flowchart from Chest paper.')\n",
    "\n",
    "# first stay\n",
    "idxRem = (df['exclusion_readmission']==1) | (df['exclusion_shortstay']==1)\n",
    "print('{:5d} - removing {:5d} ({:2.2f}%) patients - short stay // readmission.'.format(\n",
    "        df.shape[0], np.sum(idxRem), 100.0*np.mean(idxRem)))\n",
    "df = df.loc[~idxRem,:]\n",
    "\n",
    "idxRem = df['exclusion_not_ventilated_first24hr']==1\n",
    "print('{:5d} - removing {:5d} ({:2.2f}%) patients - not ventilated in first 24 hours.'.format(\n",
    "        df.shape[0], np.sum(idxRem), 100.0*np.mean(idxRem)))\n",
    "\n",
    "df = df.loc[df['exclusion_not_ventilated_first24hr']==0,:]\n",
    "\n",
    "print('{:5d}'.format(df.shape[0]))\n",
    "idxRem = df['icustay_id'].isnull()\n",
    "for c in ['exclusion_septic', 'exclusion_vasopressors',\n",
    "            'exclusion_aline_before_admission', 'exclusion_service_surgical']:\n",
    "    print('{:5s} - removing {:5d} ({:2.2f}%) patients - additional {:5d} {:2.2f}% - {}'.format(\n",
    "            '', df[c].sum(), 100.0*df[c].mean(),\n",
    "            np.sum((idxRem==0)&(df[c]==1)), 100.0*np.mean((idxRem==0)&(df[c]==1)),\n",
    "            c))\n",
    "    idxRem = idxRem | (df[c]==1)\n",
    "\n",
    "df = df.loc[~idxRem,:]\n",
    "print('{} - final cohort.'.format(df.shape[0]))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The following codeblock loads in the SQL from each file in the aline subfolder and executes the query to generate the materialized view. We specifically exclude the aline_cohort.sql file as we have already executed it above. Again, the order of query execution does not matter for these queries. Note also that the filenames are the same as the created materialized view names for convenience."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Executing aline_bmi-awsathena.sql ... done.\n",
      "Executing aline_sofa-awsathena.sql ... done.\n",
      "Executing aline_labs-awsathena.sql ... done.\n",
      "Executing aline_sedatives-awsathena.sql ... done.\n",
      "Executing aline_icd-awsathena.sql ... done.\n",
      "Executing aline_vitals-awsathena.sql ... done.\n"
     ]
    }
   ],
   "source": [
    "# get a list of all files in the subfolder\n",
    "aline_queries = [f for f in os.listdir(aline_path) \n",
    "                 # only keep the filename if it is actually a file (and not a directory)\n",
    "                if os.path.isfile(os.path.join(aline_path,f))\n",
    "                 # and only keep the filename if it is an SQL file\n",
    "                & f.endswith('.sql')\n",
    "                # and we do *not* want aline_cohort - it's generated above\n",
    "                & (f != 'aline_cohort-awsathena.sql') & (f != 'aline_final_cohort-awsathena.sql') & (f != 'aline_vaso_flag-awsathena.sql')]\n",
    "\n",
    "\n",
    "\n",
    "for f in aline_queries:\n",
    "    # Load in the query from file\n",
    "    table=f.split('-')\n",
    "    query='DROP TABLE IF EXISTS DATABASE.{};'.format(table[0])\n",
    "    cursor.execute(query.replace(\"DATABASE\", gluedatabase))\n",
    "    print('Executing {} ...'.format(f), end=' ')\n",
    "    \n",
    "    with open(os.path.join(aline_path,f)) as fp:\n",
    "        query = ''.join(fp.readlines())\n",
    "    cursor.execute(query.replace(\"DATABASE\", gluedatabase))\n",
    "    print('done.')\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Summarize the cohort exclusions before we pull all the data together."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 2 - Extract all covariates and outcome measures\n",
    "\n",
    "We now aggregate all the data from the various views into a single dataframe."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>count</th>\n",
       "      <th>mean</th>\n",
       "      <th>std</th>\n",
       "      <th>min</th>\n",
       "      <th>25%</th>\n",
       "      <th>50%</th>\n",
       "      <th>75%</th>\n",
       "      <th>max</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>subject_id</th>\n",
       "      <td>2523.0</td>\n",
       "      <td>41200.547364</td>\n",
       "      <td>29712.636902</td>\n",
       "      <td>22.000000</td>\n",
       "      <td>15641.000000</td>\n",
       "      <td>31269.000000</td>\n",
       "      <td>66535.000000</td>\n",
       "      <td>99881.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>hadm_id</th>\n",
       "      <td>2523.0</td>\n",
       "      <td>149881.509314</td>\n",
       "      <td>29258.187301</td>\n",
       "      <td>100016.000000</td>\n",
       "      <td>124222.000000</td>\n",
       "      <td>150164.000000</td>\n",
       "      <td>175300.000000</td>\n",
       "      <td>199962.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>icustay_id</th>\n",
       "      <td>2523.0</td>\n",
       "      <td>250829.827190</td>\n",
       "      <td>28926.610595</td>\n",
       "      <td>200019.000000</td>\n",
       "      <td>226843.000000</td>\n",
       "      <td>251681.000000</td>\n",
       "      <td>275897.000000</td>\n",
       "      <td>299995.000000</td>\n",
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       "    <tr>\n",
       "      <th>age</th>\n",
       "      <td>2523.0</td>\n",
       "      <td>64.544657</td>\n",
       "      <td>50.086406</td>\n",
       "      <td>16.203184</td>\n",
       "      <td>42.349852</td>\n",
       "      <td>57.126036</td>\n",
       "      <td>73.741161</td>\n",
       "      <td>300.052602</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>hour_icu_intime</th>\n",
       "      <td>2523.0</td>\n",
       "      <td>12.770908</td>\n",
       "      <td>7.533683</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>5.000000</td>\n",
       "      <td>14.000000</td>\n",
       "      <td>19.000000</td>\n",
       "      <td>23.000000</td>\n",
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       "    <tr>\n",
       "      <th>icu_hour_flag</th>\n",
       "      <td>2523.0</td>\n",
       "      <td>0.404677</td>\n",
       "      <td>0.490927</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
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       "    <tr>\n",
       "      <th>icu_los_day</th>\n",
       "      <td>2523.0</td>\n",
       "      <td>3.657932</td>\n",
       "      <td>3.403448</td>\n",
       "      <td>1.000579</td>\n",
       "      <td>1.709288</td>\n",
       "      <td>2.525197</td>\n",
       "      <td>4.355093</td>\n",
       "      <td>37.304780</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>hospital_los_day</th>\n",
       "      <td>2523.0</td>\n",
       "      <td>8.445863</td>\n",
       "      <td>7.819610</td>\n",
       "      <td>0.038194</td>\n",
       "      <td>3.807292</td>\n",
       "      <td>6.450000</td>\n",
       "      <td>10.527083</td>\n",
       "      <td>123.687500</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>hosp_exp_flag</th>\n",
       "      <td>2523.0</td>\n",
       "      <td>0.131193</td>\n",
       "      <td>0.337678</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
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       "    <tr>\n",
       "      <th>icu_exp_flag</th>\n",
       "      <td>2523.0</td>\n",
       "      <td>0.090765</td>\n",
       "      <td>0.287332</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mort_day</th>\n",
       "      <td>910.0</td>\n",
       "      <td>429.589134</td>\n",
       "      <td>690.777814</td>\n",
       "      <td>0.000694</td>\n",
       "      <td>5.094097</td>\n",
       "      <td>62.694097</td>\n",
       "      <td>558.330556</td>\n",
       "      <td>3731.972222</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>day_28_flag</th>\n",
       "      <td>2523.0</td>\n",
       "      <td>0.155767</td>\n",
       "      <td>0.362706</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mort_day_censored</th>\n",
       "      <td>2523.0</td>\n",
       "      <td>250.842692</td>\n",
       "      <td>435.912143</td>\n",
       "      <td>0.000694</td>\n",
       "      <td>150.000000</td>\n",
       "      <td>150.000000</td>\n",
       "      <td>150.000000</td>\n",
       "      <td>3731.972222</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>censor_flag</th>\n",
       "      <td>2523.0</td>\n",
       "      <td>0.639318</td>\n",
       "      <td>0.480294</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>aline_flag</th>\n",
       "      <td>2523.0</td>\n",
       "      <td>0.514863</td>\n",
       "      <td>0.499878</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>aline_time_day</th>\n",
       "      <td>1299.0</td>\n",
       "      <td>0.286686</td>\n",
       "      <td>0.710809</td>\n",
       "      <td>0.000694</td>\n",
       "      <td>0.018056</td>\n",
       "      <td>0.066667</td>\n",
       "      <td>0.246528</td>\n",
       "      <td>11.843750</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>weight_first</th>\n",
       "      <td>2446.0</td>\n",
       "      <td>80.868029</td>\n",
       "      <td>26.924396</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>65.000000</td>\n",
       "      <td>77.300000</td>\n",
       "      <td>91.100000</td>\n",
       "      <td>710.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>height_first</th>\n",
       "      <td>898.0</td>\n",
       "      <td>169.866036</td>\n",
       "      <td>17.067155</td>\n",
       "      <td>15.240000</td>\n",
       "      <td>162.560000</td>\n",
       "      <td>170.180000</td>\n",
       "      <td>177.800000</td>\n",
       "      <td>444.500000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>bmi</th>\n",
       "      <td>898.0</td>\n",
       "      <td>0.003432</td>\n",
       "      <td>0.014497</td>\n",
       "      <td>0.000815</td>\n",
       "      <td>0.002325</td>\n",
       "      <td>0.002683</td>\n",
       "      <td>0.003150</td>\n",
       "      <td>0.434431</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>sofa_first</th>\n",
       "      <td>2523.0</td>\n",
       "      <td>4.365834</td>\n",
       "      <td>1.996958</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>3.000000</td>\n",
       "      <td>4.000000</td>\n",
       "      <td>5.000000</td>\n",
       "      <td>15.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>map_first</th>\n",
       "      <td>2523.0</td>\n",
       "      <td>84.808427</td>\n",
       "      <td>16.846600</td>\n",
       "      <td>-6.000000</td>\n",
       "      <td>73.000000</td>\n",
       "      <td>83.666702</td>\n",
       "      <td>95.000000</td>\n",
       "      <td>174.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>hr_first</th>\n",
       "      <td>2523.0</td>\n",
       "      <td>87.056282</td>\n",
       "      <td>19.476617</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>74.000000</td>\n",
       "      <td>85.000000</td>\n",
       "      <td>99.000000</td>\n",
       "      <td>174.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>temp_first</th>\n",
       "      <td>2513.0</td>\n",
       "      <td>36.807150</td>\n",
       "      <td>0.908248</td>\n",
       "      <td>32.222222</td>\n",
       "      <td>36.222221</td>\n",
       "      <td>36.777778</td>\n",
       "      <td>37.388889</td>\n",
       "      <td>40.444446</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>spo2_first</th>\n",
       "      <td>2520.0</td>\n",
       "      <td>98.641270</td>\n",
       "      <td>3.020225</td>\n",
       "      <td>47.000000</td>\n",
       "      <td>98.000000</td>\n",
       "      <td>100.000000</td>\n",
       "      <td>100.000000</td>\n",
       "      <td>100.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>bun_first</th>\n",
       "      <td>2474.0</td>\n",
       "      <td>20.187146</td>\n",
       "      <td>15.136237</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>12.000000</td>\n",
       "      <td>16.000000</td>\n",
       "      <td>23.000000</td>\n",
       "      <td>139.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>creatinine_first</th>\n",
       "      <td>2474.0</td>\n",
       "      <td>1.140097</td>\n",
       "      <td>1.168660</td>\n",
       "      <td>0.100000</td>\n",
       "      <td>0.700000</td>\n",
       "      <td>0.900000</td>\n",
       "      <td>1.100000</td>\n",
       "      <td>18.800000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>chloride_first</th>\n",
       "      <td>2481.0</td>\n",
       "      <td>104.074970</td>\n",
       "      <td>5.933029</td>\n",
       "      <td>56.000000</td>\n",
       "      <td>101.000000</td>\n",
       "      <td>104.000000</td>\n",
       "      <td>107.000000</td>\n",
       "      <td>129.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>hgb_first</th>\n",
       "      <td>2479.0</td>\n",
       "      <td>12.220976</td>\n",
       "      <td>2.235188</td>\n",
       "      <td>4.100000</td>\n",
       "      <td>10.700000</td>\n",
       "      <td>12.300000</td>\n",
       "      <td>13.800000</td>\n",
       "      <td>19.800000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>platelet_first</th>\n",
       "      <td>2471.0</td>\n",
       "      <td>240.770943</td>\n",
       "      <td>101.345871</td>\n",
       "      <td>6.000000</td>\n",
       "      <td>177.000000</td>\n",
       "      <td>231.000000</td>\n",
       "      <td>294.000000</td>\n",
       "      <td>1313.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>potassium_first</th>\n",
       "      <td>2485.0</td>\n",
       "      <td>4.065634</td>\n",
       "      <td>0.681857</td>\n",
       "      <td>1.800000</td>\n",
       "      <td>3.600000</td>\n",
       "      <td>4.000000</td>\n",
       "      <td>4.400000</td>\n",
       "      <td>9.200000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>sodium_first</th>\n",
       "      <td>2481.0</td>\n",
       "      <td>139.494156</td>\n",
       "      <td>4.874810</td>\n",
       "      <td>74.000000</td>\n",
       "      <td>137.000000</td>\n",
       "      <td>140.000000</td>\n",
       "      <td>142.000000</td>\n",
       "      <td>165.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>tco2_first</th>\n",
       "      <td>2497.0</td>\n",
       "      <td>25.123348</td>\n",
       "      <td>5.209551</td>\n",
       "      <td>3.000000</td>\n",
       "      <td>22.000000</td>\n",
       "      <td>25.000000</td>\n",
       "      <td>28.000000</td>\n",
       "      <td>53.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>wbc_first</th>\n",
       "      <td>2470.0</td>\n",
       "      <td>12.232874</td>\n",
       "      <td>6.163138</td>\n",
       "      <td>0.200000</td>\n",
       "      <td>8.000000</td>\n",
       "      <td>11.300000</td>\n",
       "      <td>15.200000</td>\n",
       "      <td>94.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>chf_flag</th>\n",
       "      <td>2523.0</td>\n",
       "      <td>0.070947</td>\n",
       "      <td>0.256788</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>afib_flag</th>\n",
       "      <td>2523.0</td>\n",
       "      <td>0.138327</td>\n",
       "      <td>0.345312</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>renal_flag</th>\n",
       "      <td>2523.0</td>\n",
       "      <td>0.065002</td>\n",
       "      <td>0.246578</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>liver_flag</th>\n",
       "      <td>2523.0</td>\n",
       "      <td>0.057868</td>\n",
       "      <td>0.233539</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>copd_flag</th>\n",
       "      <td>2523.0</td>\n",
       "      <td>0.015458</td>\n",
       "      <td>0.123389</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>cad_flag</th>\n",
       "      <td>2523.0</td>\n",
       "      <td>0.093539</td>\n",
       "      <td>0.291245</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>stroke_flag</th>\n",
       "      <td>2523.0</td>\n",
       "      <td>0.158938</td>\n",
       "      <td>0.365691</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>malignancy_flag</th>\n",
       "      <td>2523.0</td>\n",
       "      <td>0.156163</td>\n",
       "      <td>0.363082</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>respfail_flag</th>\n",
       "      <td>2523.0</td>\n",
       "      <td>0.365042</td>\n",
       "      <td>0.481537</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>endocarditis_flag</th>\n",
       "      <td>2523.0</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ards_flag</th>\n",
       "      <td>2523.0</td>\n",
       "      <td>0.017043</td>\n",
       "      <td>0.129458</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>pneumonia_flag</th>\n",
       "      <td>2523.0</td>\n",
       "      <td>0.177963</td>\n",
       "      <td>0.382557</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>sedative_flag</th>\n",
       "      <td>2523.0</td>\n",
       "      <td>0.211256</td>\n",
       "      <td>0.408281</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>midazolam_flag</th>\n",
       "      <td>2523.0</td>\n",
       "      <td>0.024970</td>\n",
       "      <td>0.156065</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>fentanyl_flag</th>\n",
       "      <td>2523.0</td>\n",
       "      <td>0.040824</td>\n",
       "      <td>0.197922</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>propofol_flag</th>\n",
       "      <td>2523.0</td>\n",
       "      <td>0.187872</td>\n",
       "      <td>0.390687</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                    count           mean           std            min  \\\n",
       "subject_id         2523.0   41200.547364  29712.636902      22.000000   \n",
       "hadm_id            2523.0  149881.509314  29258.187301  100016.000000   \n",
       "icustay_id         2523.0  250829.827190  28926.610595  200019.000000   \n",
       "age                2523.0      64.544657     50.086406      16.203184   \n",
       "hour_icu_intime    2523.0      12.770908      7.533683       0.000000   \n",
       "icu_hour_flag      2523.0       0.404677      0.490927       0.000000   \n",
       "icu_los_day        2523.0       3.657932      3.403448       1.000579   \n",
       "hospital_los_day   2523.0       8.445863      7.819610       0.038194   \n",
       "hosp_exp_flag      2523.0       0.131193      0.337678       0.000000   \n",
       "icu_exp_flag       2523.0       0.090765      0.287332       0.000000   \n",
       "mort_day            910.0     429.589134    690.777814       0.000694   \n",
       "day_28_flag        2523.0       0.155767      0.362706       0.000000   \n",
       "mort_day_censored  2523.0     250.842692    435.912143       0.000694   \n",
       "censor_flag        2523.0       0.639318      0.480294       0.000000   \n",
       "aline_flag         2523.0       0.514863      0.499878       0.000000   \n",
       "aline_time_day     1299.0       0.286686      0.710809       0.000694   \n",
       "weight_first       2446.0      80.868029     26.924396       1.000000   \n",
       "height_first        898.0     169.866036     17.067155      15.240000   \n",
       "bmi                 898.0       0.003432      0.014497       0.000815   \n",
       "sofa_first         2523.0       4.365834      1.996958       0.000000   \n",
       "map_first          2523.0      84.808427     16.846600      -6.000000   \n",
       "hr_first           2523.0      87.056282     19.476617       0.000000   \n",
       "temp_first         2513.0      36.807150      0.908248      32.222222   \n",
       "spo2_first         2520.0      98.641270      3.020225      47.000000   \n",
       "bun_first          2474.0      20.187146     15.136237       1.000000   \n",
       "creatinine_first   2474.0       1.140097      1.168660       0.100000   \n",
       "chloride_first     2481.0     104.074970      5.933029      56.000000   \n",
       "hgb_first          2479.0      12.220976      2.235188       4.100000   \n",
       "platelet_first     2471.0     240.770943    101.345871       6.000000   \n",
       "potassium_first    2485.0       4.065634      0.681857       1.800000   \n",
       "sodium_first       2481.0     139.494156      4.874810      74.000000   \n",
       "tco2_first         2497.0      25.123348      5.209551       3.000000   \n",
       "wbc_first          2470.0      12.232874      6.163138       0.200000   \n",
       "chf_flag           2523.0       0.070947      0.256788       0.000000   \n",
       "afib_flag          2523.0       0.138327      0.345312       0.000000   \n",
       "renal_flag         2523.0       0.065002      0.246578       0.000000   \n",
       "liver_flag         2523.0       0.057868      0.233539       0.000000   \n",
       "copd_flag          2523.0       0.015458      0.123389       0.000000   \n",
       "cad_flag           2523.0       0.093539      0.291245       0.000000   \n",
       "stroke_flag        2523.0       0.158938      0.365691       0.000000   \n",
       "malignancy_flag    2523.0       0.156163      0.363082       0.000000   \n",
       "respfail_flag      2523.0       0.365042      0.481537       0.000000   \n",
       "endocarditis_flag  2523.0       0.000000      0.000000       0.000000   \n",
       "ards_flag          2523.0       0.017043      0.129458       0.000000   \n",
       "pneumonia_flag     2523.0       0.177963      0.382557       0.000000   \n",
       "sedative_flag      2523.0       0.211256      0.408281       0.000000   \n",
       "midazolam_flag     2523.0       0.024970      0.156065       0.000000   \n",
       "fentanyl_flag      2523.0       0.040824      0.197922       0.000000   \n",
       "propofol_flag      2523.0       0.187872      0.390687       0.000000   \n",
       "\n",
       "                             25%            50%            75%            max  \n",
       "subject_id          15641.000000   31269.000000   66535.000000   99881.000000  \n",
       "hadm_id            124222.000000  150164.000000  175300.000000  199962.000000  \n",
       "icustay_id         226843.000000  251681.000000  275897.000000  299995.000000  \n",
       "age                    42.349852      57.126036      73.741161     300.052602  \n",
       "hour_icu_intime         5.000000      14.000000      19.000000      23.000000  \n",
       "icu_hour_flag           0.000000       0.000000       1.000000       1.000000  \n",
       "icu_los_day             1.709288       2.525197       4.355093      37.304780  \n",
       "hospital_los_day        3.807292       6.450000      10.527083     123.687500  \n",
       "hosp_exp_flag           0.000000       0.000000       0.000000       1.000000  \n",
       "icu_exp_flag            0.000000       0.000000       0.000000       1.000000  \n",
       "mort_day                5.094097      62.694097     558.330556    3731.972222  \n",
       "day_28_flag             0.000000       0.000000       0.000000       1.000000  \n",
       "mort_day_censored     150.000000     150.000000     150.000000    3731.972222  \n",
       "censor_flag             0.000000       1.000000       1.000000       1.000000  \n",
       "aline_flag              0.000000       1.000000       1.000000       1.000000  \n",
       "aline_time_day          0.018056       0.066667       0.246528      11.843750  \n",
       "weight_first           65.000000      77.300000      91.100000     710.000000  \n",
       "height_first          162.560000     170.180000     177.800000     444.500000  \n",
       "bmi                     0.002325       0.002683       0.003150       0.434431  \n",
       "sofa_first              3.000000       4.000000       5.000000      15.000000  \n",
       "map_first              73.000000      83.666702      95.000000     174.000000  \n",
       "hr_first               74.000000      85.000000      99.000000     174.000000  \n",
       "temp_first             36.222221      36.777778      37.388889      40.444446  \n",
       "spo2_first             98.000000     100.000000     100.000000     100.000000  \n",
       "bun_first              12.000000      16.000000      23.000000     139.000000  \n",
       "creatinine_first        0.700000       0.900000       1.100000      18.800000  \n",
       "chloride_first        101.000000     104.000000     107.000000     129.000000  \n",
       "hgb_first              10.700000      12.300000      13.800000      19.800000  \n",
       "platelet_first        177.000000     231.000000     294.000000    1313.000000  \n",
       "potassium_first         3.600000       4.000000       4.400000       9.200000  \n",
       "sodium_first          137.000000     140.000000     142.000000     165.000000  \n",
       "tco2_first             22.000000      25.000000      28.000000      53.000000  \n",
       "wbc_first               8.000000      11.300000      15.200000      94.000000  \n",
       "chf_flag                0.000000       0.000000       0.000000       1.000000  \n",
       "afib_flag               0.000000       0.000000       0.000000       1.000000  \n",
       "renal_flag              0.000000       0.000000       0.000000       1.000000  \n",
       "liver_flag              0.000000       0.000000       0.000000       1.000000  \n",
       "copd_flag               0.000000       0.000000       0.000000       1.000000  \n",
       "cad_flag                0.000000       0.000000       0.000000       1.000000  \n",
       "stroke_flag             0.000000       0.000000       0.000000       1.000000  \n",
       "malignancy_flag         0.000000       0.000000       0.000000       1.000000  \n",
       "respfail_flag           0.000000       0.000000       1.000000       1.000000  \n",
       "endocarditis_flag       0.000000       0.000000       0.000000       0.000000  \n",
       "ards_flag               0.000000       0.000000       0.000000       1.000000  \n",
       "pneumonia_flag          0.000000       0.000000       0.000000       1.000000  \n",
       "sedative_flag           0.000000       0.000000       0.000000       1.000000  \n",
       "midazolam_flag          0.000000       0.000000       0.000000       1.000000  \n",
       "fentanyl_flag           0.000000       0.000000       0.000000       1.000000  \n",
       "propofol_flag           0.000000       0.000000       0.000000       1.000000  "
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Load in the query from file\n",
    "query = \"\"\"\n",
    "--FINAL QUERY\n",
    "select\n",
    "  co.subject_id, co.hadm_id, co.icustay_id\n",
    "\n",
    "  -- static variables from patient tracking tables\n",
    "  , co.age\n",
    "  , co.gender\n",
    "  -- , co.gender_num -- gender, 0=F, 1=M\n",
    "  , co.intime as icustay_intime\n",
    "  , co.day_icu_intime -- day of week, text\n",
    "  --, co.day_icu_intime_num -- day of week, numeric (0=Sun, 6=Sat)\n",
    "  , co.hour_icu_intime -- hour of ICU admission (24 hour clock)\n",
    "  , case \n",
    "      when co.hour_icu_intime >= 7\n",
    "       and co.hour_icu_intime < 19\n",
    "         then 1\n",
    "      else 0\n",
    "    end as icu_hour_flag\n",
    "  , co.outtime as icustay_outtime\n",
    "\n",
    "  -- outcome variables\n",
    "  , co.icu_los_day\n",
    "  , co.hospital_los_day\n",
    "  , co.hosp_exp_flag -- 1/0 patient died within current hospital stay\n",
    "  , co.icu_exp_flag -- 1/0 patient died within current ICU stay\n",
    "  , co.mort_day -- days from ICU admission to mortality, if they died\n",
    "  , co.day_28_flag -- 1/0 whether the patient died 28 days after *ICU* admission\n",
    "  , co.mort_day_censored -- days until patient died *or* 150 days (150 days is our censor time)\n",
    "  , co.censor_flag -- 1/0 did this patient have 150 imputed in mort_day_censored\n",
    "\n",
    "  -- aline flags\n",
    "  -- , co.initial_aline_flag -- always 0, we remove patients admitted w/ aline\n",
    "  , co.aline_flag -- 1/0 did the patient receive an aline\n",
    "  , co.aline_time_day -- if the patient received aline, fractional days until aline put in\n",
    "\n",
    "  -- demographics extracted using regex + echos\n",
    "  , bmi.weight as weight_first\n",
    "  , bmi.height as height_first\n",
    "  , bmi.bmi\n",
    "\n",
    "  -- service patient was admitted to the ICU under\n",
    "  , co.service_unit\n",
    "\n",
    "  -- severity of illness just before ventilation\n",
    "  , so.sofa as sofa_first\n",
    "\n",
    "  -- vital sign value just preceeding ventilation\n",
    "  , vi.map as map_first\n",
    "  , vi.heartrate as hr_first\n",
    "  , vi.temperature as temp_first\n",
    "  , vi.spo2 as spo2_first\n",
    "\n",
    "  -- labs!\n",
    "  , labs.bun_first\n",
    "  , labs.creatinine_first\n",
    "  , labs.chloride_first\n",
    "  , labs.hgb_first\n",
    "  , labs.platelet_first\n",
    "  , labs.potassium_first\n",
    "  , labs.sodium_first\n",
    "  , labs.tco2_first\n",
    "  , labs.wbc_first\n",
    "\n",
    "  -- comorbidities extracted using ICD-9 codes\n",
    "  , icd.chf as chf_flag\n",
    "  , icd.afib as afib_flag\n",
    "  , icd.renal as renal_flag\n",
    "  , icd.liver as liver_flag\n",
    "  , icd.copd as copd_flag\n",
    "  , icd.cad as cad_flag\n",
    "  , icd.stroke as stroke_flag\n",
    "  , icd.malignancy as malignancy_flag\n",
    "  , icd.respfail as respfail_flag\n",
    "  , icd.endocarditis as endocarditis_flag\n",
    "  , icd.ards as ards_flag\n",
    "  , icd.pneumonia as pneumonia_flag\n",
    "\n",
    "  -- sedative use\n",
    "  , sed.sedative_flag\n",
    "  , sed.midazolam_flag\n",
    "  , sed.fentanyl_flag\n",
    "  , sed.propofol_flag\n",
    "  \n",
    "from DATABASE.aline_cohort co\n",
    "-- The following tables are generated by code within this repository\n",
    "left join DATABASE.aline_sofa so\n",
    "on co.icustay_id = so.icustay_id\n",
    "left join DATABASE.aline_bmi bmi\n",
    "  on co.icustay_id = bmi.icustay_id\n",
    "left join DATABASE.aline_icd icd\n",
    "  on co.hadm_id = icd.hadm_id\n",
    "left join DATABASE.aline_vitals vi\n",
    "  on co.icustay_id = vi.icustay_id\n",
    "left join DATABASE.aline_labs labs\n",
    "  on co.icustay_id = labs.icustay_id\n",
    "left join DATABASE.aline_sedatives sed\n",
    "  on co.icustay_id = sed.icustay_id\n",
    "order by co.icustay_id\n",
    "\"\"\"\n",
    "\n",
    "cursor.execute(query.replace(\"DATABASE\", gluedatabase))\n",
    "# Load the result of the query into a dataframe\n",
    "df = as_pandas(cursor)\n",
    "df.describe().T"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we need to remove obvious outliers, including correcting ages > 200 to 91.4 (i.e. replace anonymized ages with 91.4, the median age of patients older than 89)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/ec2-user/anaconda3/envs/amazonei_mxnet_p27/lib/python2.7/site-packages/matplotlib/axes/_axes.py:6462: UserWarning: The 'normed' kwarg is deprecated, and has been replaced by the 'density' kwarg.\n",
      "  warnings.warn(\"The 'normed' kwarg is deprecated, and has been \"\n"
     ]
    },
    {
     "data": {
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keVmSXcBrgd9KMl3/XwOnARcMuXzj7yb5AvAF4GjgHfvxGUmSJEkLZun4KlBVtwC3zCh728D2t+kS6WFtLwcunyRmK9/JkKUrVXUX3RKZmeW/A/zOiL5PH1YuSZIkLRbe6VSSJEnqsYlm2CUtjJUbb17oIUiSpAXmDLskSZLUYybskiRJUo+ZsEuSJEk9ZsIuSZIk9ZgJuyRJktRjJuySJElSj5mwS5IkST1mwi5JkiT1mAm7JEmS1GMm7JIkSVKPmbBLkiRJPWbCLkmSJPWYCbskSZLUYybskiRJUo+ZsEuSJEk9ZsIuSZIk9ZgJuyRJktRjJuySJElSj5mwS5IkST1mwi5JkiT1mAm7JEmS1GMm7JIkSVKPmbBLkiRJPWbCLkmSJPWYCbskSZLUY0sXegCSNGjlxpv3qf4D73zVHI1EkqR+cIZdkiRJ6jETdkmSJKnHTNglSZKkHpsoYU+yLsmOJFNJNg7Zf1iS69v+O5KsHNh3aSvfkeSscTGTrGox7msxl7Xy05J8NsneJOfO6P/8Vv++JOcPlL80yRdaH+9Okn35cCRJkqSFNjZhT7IEuAI4G1gDnJdkzYxqFwJ7qupEYDOwqbVdA2wATgLWAVcmWTIm5iZgc1WtBva02ABfAS4APjhjfEcBvwL8MHAK8CtJjmy73wNcBKxuj3Xj3q8kSZLUJ5PMsJ8CTFXVzqp6EtgCrJ9RZz1wTdu+ETijzWavB7ZU1RNVdT8w1eINjdnanN5i0GKeA1BVD1TV54Hvzuj7LOATVfVIVe0BPgGsS3IM8IKq+nRVFXDtdCxJkiRpsZgkYT8WeHDg9a5WNrROVe0FHgOWz9J2VPly4NEWY1Rfk47v2LY927glSZKkXpskYR+27rsmrHOgymfz946V5KIk25Js271795juJEmSpPkzScK+Czh+4PVxwEOj6iRZChwOPDJL21HlDwNHtBij+pp0fLva9mzjBqCqrqqqtVW1dsWKFWO6kyRJkubPJAn7XcDqdvWWZXQnkW6dUWcrMH11lnOB29q68a3AhnYVmVV0J37eOSpma3N7i0GLedOY8d0KnJnkyHay6ZnArVX1NeDxJKe2tfFvnCCWJEmS1CtjE/a2nvxiusT4S8ANVbU9yWVJXt2qXQ0sTzIFvBXY2NpuB24A7gU+Dry5qp4aFbPFugR4a4u1vMUmycuS7AJeC/xWku2tj0eAX6P7I+Au4LJWBvAm4L10J7t+GfjYfnxGkiRJ0oJJN6mtaWvXrq1t27bNe78rN948731KB4MH3vmqhR6C2Pf/h3ncJB3qktxdVWsnqeudTiVJkqQeM2GXJEmSesyEXZIkSeoxE3ZJkiSpx0zYJUmSpB5bOr6KJEk62HhlHx0I/nc0P5xhlyRJknrMhF2SJEnqMZfESJKkRWmul2O43EN94Qy7JEmS1GMm7JIkSVKPmbBLkiRJPWbCLkmSJPWYCbskSZLUYybskiRJUo95WUdJWmS81NyhweN8aOjbcd7X8Wh+OMMuSZIk9ZgJuyRJktRjLomRpINc335y3x9z/TN9H9+zJE1zhl2SJEnqMRN2SZIkqcdcEiNJC8yrMkiSZuMMuyRJktRjJuySJElSj5mwS5IkST1mwi5JkiT1mAm7JEmS1GNeJUaSJI21P1cz8oZU0oHhDLskSZLUYybskiRJUo9NtCQmyTrg/wWWAO+tqnfO2H8YcC3wUuCvgNdV1QNt36XAhcBTwP9eVbfOFjPJKmALcBTwWeANVfXkqD6SvB74hYHh/CDwkqq6J8kngWOAb7V9Z1bV1yf8bCRJh4h9Xe7hUg9J82nsDHuSJcAVwNnAGuC8JGtmVLsQ2FNVJwKbgU2t7RpgA3ASsA64MsmSMTE3AZurajWwp8Ue2UdV/W5VnVxVJwNvAB6oqnsGxvb66f0m65IkSVpsJlkScwowVVU7q+pJutnv9TPqrAeuads3AmckSSvfUlVPVNX9wFSLNzRma3N6i0GLec6YPgadB3xogvckSZIkLQqTJOzHAg8OvN7VyobWqaq9wGPA8lnajipfDjzaYszsa1Qfg17HMxP29ye5J8kvD0nwJUmSpF6bJGEfluTWhHUOVPnYcST5YeCbVfXFgf2vr6ofAH60Pd4wJAZJLkqyLcm23bt3D6siSZIkLYhJEvZdwPEDr48DHhpVJ8lS4HDgkVnajip/GDiixZjZ16g+pm1gxux6VX21PT8OfJBuKc4zVNVVVbW2qtauWLFiWBVJkiRpQUySsN8FrE6yKskyusR464w6W4Hz2/a5wG1VVa18Q5LD2tVfVgN3jorZ2tzeYtBi3jSmD5I8C3gt3Vp4WtnSJEe37WcDPwEMzr5LkiRJvTf2so5VtTfJxcCtdJdgfF9VbU9yGbCtqrYCVwPXJZmim/Xe0NpuT3IDcC+wF3hzVT0FMCxm6/ISYEuSdwCfa7EZ1UdzGrCrqnYOlB0G3NqS9SXAfwd+ex8+G0mSFo39uROpDiyPwdzwsqsTXoe9qm4BbplR9raB7W/TzXAPa3s5cPkkMVv5ToYsXRnTxyeBU2eUfYPumu2SJEnSouWdTiVJkqQem2iGXZI0ucX+s/hiH/988DOS9o/fnf3jDLskSZLUYybskiRJUo+5JEaSJM0Jr+6hhXAw/nfnDLskSZLUYybskiRJUo+5JEaSJOkg5VVZDg7OsEuSJEk9ZsIuSZIk9ZgJuyRJktRjJuySJElSj5mwS5IkST3mVWIkSfPOK1dI+8fvzqHJGXZJkiSpx0zYJUmSpB4zYZckSZJ6zIRdkiRJ6jETdkmSJKnHTNglSZKkHjNhlyRJknrMhF2SJEnqMRN2SZIkqcdM2CVJkqQeM2GXJEmSesyEXZIkSeqxpQs9AEmSJICVG29e6CFIveQMuyRJktRjJuySJElSj5mwS5IkST1mwi5JkiT12EQJe5J1SXYkmUqyccj+w5Jc3/bfkWTlwL5LW/mOJGeNi5lkVYtxX4u5bLY+kqxM8q0k97THbw7EemmSL7Q2706Sff+IJEmSpIUzNmFPsgS4AjgbWAOcl2TNjGoXAnuq6kRgM7CptV0DbABOAtYBVyZZMibmJmBzVa0G9rTYI/tovlxVJ7fHzw2Uvwe4CFjdHuvGvV9JkiSpTyaZYT8FmKqqnVX1JLAFWD+jznrgmrZ9I3BGm81eD2ypqieq6n5gqsUbGrO1Ob3FoMU8Z0wfQyU5BnhBVX26qgq4diCWJEmStChMkrAfCzw48HpXKxtap6r2Ao8By2dpO6p8OfBoizGzr1F9AKxK8rkkn0ryowP1d40ZtyRJktRrk9w4adgsdk1YZ1T5sD8UZqs/Wx9fA06oqr9K8lLgvyU5acJxd4GTi+iWznDCCScMqyJJkiQtiElm2HcBxw+8Pg54aFSdJEuBw4FHZmk7qvxh4IgWY2ZfQ/toy23+CqCq7ga+DPzjVv+4MeOmtbuqqtZW1doVK1aM/CAkSZKk+TZJwn4XsLpdvWUZ3UmkW2fU2Qqc37bPBW5r68a3AhvaFV5W0Z34eeeomK3N7S0GLeZNs/WRZEU7iZUkL2597KyqrwGPJzm1rXV/40AsSZIkaVEYuySmqvYmuRi4FVgCvK+qtie5DNhWVVuBq4HrkkzRzaxvaG23J7kBuBfYC7y5qp4CGBazdXkJsCXJO4DPtdiM6gM4DbgsyV7gKeDnquqRtu9NwAeA5wIfaw9JkiRp0ZhkDTtVdQtwy4yytw1sfxt47Yi2lwOXTxKzle+ku4rMzPKhfVTV7wO/P6LvbcD/MmyfJEmStBh4p1NJkiSpx0zYJUmSpB4zYZckSZJ6zIRdkiRJ6jETdkmSJKnHJrpKjCRJ0mK3cuPNCz0Eab84wy5JkiT1mAm7JEmS1GMm7JIkSVKPmbBLkiRJPWbCLkmSJPWYCbskSZLUYybskiRJUo+ZsEuSJEk9ZsIuSZIk9ZgJuyRJktRjJuySJElSj5mwS5IkST1mwi5JkiT1mAm7JEmS1GMm7JIkSVKPmbBLkiRJPWbCLkmSJPWYCbskSZLUYybskiRJUo+ZsEuSJEk9ZsIuSZIk9ZgJuyRJktRjJuySJElSj5mwS5IkST02UcKeZF2SHUmmkmwcsv+wJNe3/XckWTmw79JWviPJWeNiJlnVYtzXYi6brY8k/yrJ3Um+0J5PH4j1ydbHPe3xwn3/iCRJkqSFMzZhT7IEuAI4G1gDnJdkzYxqFwJ7qupEYDOwqbVdA2wATgLWAVcmWTIm5iZgc1WtBva02CP7AB4GfrKqfgA4H7huxtheX1Unt8fXx34ikiRJUo9MMsN+CjBVVTur6klgC7B+Rp31wDVt+0bgjCRp5Vuq6omquh+YavGGxmxtTm8xaDHPma2PqvpcVT3UyrcDz0ly2KQfgCRJktRnkyTsxwIPDrze1cqG1qmqvcBjwPJZ2o4qXw482mLM7GtUH4N+CvhcVT0xUPb+thzml9sfBJIkSdKiMUnCPizJrQnrHKjyseNIchLdMpmfHdj/+rZU5kfb4w1DYpDkoiTbkmzbvXv3sCqSJEnSgpgkYd8FHD/w+jjgoVF1kiwFDgcemaXtqPKHgSNajJl9jeqDJMcBHwHeWFVfng5aVV9tz48DH6RbivMMVXVVVa2tqrUrVqyY5aOQJEmS5tckCftdwOp29ZZldCeRbp1RZyvdCZ8A5wK3VVW18g3tCi+rgNXAnaNitja3txi0mDfN1keSI4CbgUur6o+nB5RkaZKj2/azgZ8AvjjB+5UkSZJ6Y+m4ClW1N8nFwK3AEuB9VbU9yWXAtqraClwNXJdkim7We0Nruz3JDcC9wF7gzVX1FMCwmK3LS4AtSd4BfK7FZlQfwMXAicAvJ/nlVnYm8A3g1pasLwH+O/Db+/wJSZIkSQtobMIOUFW3ALfMKHvbwPa3gdeOaHs5cPkkMVv5ToYsXRnVR1W9A3jHiKG/dES5JEmStCh4p1NJkiSpx0zYJUmSpB4zYZckSZJ6zIRdkiRJ6jETdkmSJKnHTNglSZKkHjNhlyRJknrMhF2SJEnqMRN2SZIkqcdM2CVJkqQeM2GXJEmSesyEXZIkSeoxE3ZJkiSpx0zYJUmSpB4zYZckSZJ6zIRdkiRJ6jETdkmSJKnHTNglSZKkHjNhlyRJknrMhF2SJEnqMRN2SZIkqcdM2CVJkqQeM2GXJEmSesyEXZIkSeoxE3ZJkiSpx0zYJUmSpB4zYZckSZJ6zIRdkiRJ6jETdkmSJKnHTNglSZKkHjNhlyRJknpsooQ9ybokO5JMJdk4ZP9hSa5v++9IsnJg36WtfEeSs8bFTLKqxbivxVx2oPuQJEmSFouxCXuSJcAVwNnAGuC8JGtmVLsQ2FNVJwKbgU2t7RpgA3ASsA64MsmSMTE3AZurajWwp8U+0H1IkiRJi8IkM+ynAFNVtbOqngS2AOtn1FkPXNO2bwTOSJJWvqWqnqiq+4GpFm9ozNbm9BaDFvOcA9nHZB+LJEmS1A+TJOzHAg8OvN7VyobWqaq9wGPA8lnajipfDjzaYszs60D1IUmSJC0aSyeokyFlNWGdUeXD/lCYrf6B7OMZklwEXNRe/k2SHcPqzbGjgYcXoF/NL4/zAZZNCz2CoTzOhwaP86HB43yQa/+OLMRxftGkFSdJ2HcBxw+8Pg54aESdXUmWAocDj4xpO6z8YeCIJEvbLPpg/QPVxzNU1VXAVcP2zZck26pq7UKOQXPP43xo8DgfGjzOhwaP86Gh78d5kiUxdwGr29VbltGd4Ll1Rp2twPlt+1zgtqqqVr6hXeFlFbAauHNUzNbm9haDFvOmA9nHZB+LJEmS1A9jZ9iram+Si4FbgSXA+6pqe5LLgG1VtRW4GrguyRTdrPeG1nZ7khuAe4G9wJur6imAYTFbl5cAW5K8A/hci80B7kOSJElaFNJNUmuhJbmoLc3RQczjfGjwOB8aPM6HBo/zoaHvx9mEXZIkSeqxie50KkmSJGlhmLD3QJJ1SXYkmUqycaHHo9klOT7J7Um+lGR7kre08qOSfCLJfe35yFaeJO9ux/fzSV4yEOv8Vv++JOcPlL80yRdam3e3m4RpAbQ7J38uyUfb61VJ7mjH7Pp2UjvtxPfr2zG7I8nKgRiXtvIdSc4aKPe73wNKOeuMAAAL0UlEQVRJjkhyY5I/a9/rl/t9Pvgk+Q/t/9lfTPKhJM/x+7z4JXlfkq8n+eJA2Zx/f0f1MWeqyscCPuhOiP0y8GJgGfCnwJqFHpePWY/ZMcBL2vY/AP4cWAP8OrCxlW8ENrXtVwIfo7tnwKnAHa38KGBnez6ybR/Z9t0JvLy1+Rhw9kK/70P1AbwV+CDw0fb6BmBD2/5N4E1t+38DfrNtbwCub9tr2vf6MGBV+74v8bvfnwfdXbT/XdteBhzh9/ngetDdOPF+4Lnt9Q3ABX6fF/8DOA14CfDFgbI5//6O6mOuHs6wL7xTgKmq2llVTwJbgPULPCbNoqq+VlWfbduPA1+i+8dgPd0//LTnc9r2euDa6nyG7l4DxwBnAZ+oqkeqag/wCWBd2/eCqvp0df8nuHYgluZRkuOAVwHvba8DnA7c2KrMPM7Tx/9G4IxWfz2wpaqeqKr7gSm6773f/R5I8gK6f/CvBqiqJ6vqUfw+H4yWAs9Ndy+X5wFfw+/zoldVf0h39cBB8/H9HdXHnDBhX3jHAg8OvN7VyrQItJ9Jfwi4A/jeqvoadEk98MJWbdQxnq1815Byzb93Ab8IfLe9Xg48Wt2N3eDvHpu/PZ5t/2Ot/r4ef82vFwO7gfe3pU/vTfI9+H0+qFTVV4H/DHyFLlF/DLgbv88Hq/n4/o7qY06YsC+8YWsZvXTPIpDk+cDvAz9fVX89W9UhZbUf5ZpHSX4C+HpV3T1YPKRqjdnnce63pXQ/p7+nqn4I+Abdz9ujeJwXoba+eD3dMpbvA74HOHtIVb/PB7dFe1xN2BfeLuD4gdfHAQ8t0Fg0oSTPpkvWf7eqPtyK/7L9fEZ7/norH3WMZys/bki55tc/B16d5AG6n7dPp5txP6L9pA5/99j87fFs+w+n+5l2X4+/5tcuYFdV3dFe30iXwPt9Prj8S+D+qtpdVd8BPgz8CH6fD1bz8f0d1cecMGFfeHcBq9uZ6svoTm7ZusBj0izaOsargS9V1W8M7NoKTJ9Zfj5w00D5G9vZ6acCj7Wfz24FzkxyZJv9ORO4te17PMmpra83DsTSPKmqS6vquKpaSfe9vK2qXg/cDpzbqs08ztPH/9xWv1r5hnbViVXAarqTmPzu90BV/QXwYJJ/0orOoLtztt/ng8tXgFOTPK8dh+nj7Pf54DQf399RfcyNuTyj1cfEZzi/ku5KI18Gfmmhx+Nj7PH6F3Q/iX0euKc9Xkm3vvF/APe156Na/QBXtOP7BWDtQKx/S3fS0hTwMwPla4Evtjb/lXaTMx8Ldsx/jKevEvNiun+gp4DfAw5r5c9pr6fa/hcPtP+ldix3MHCFEL/7/XgAJwPb2nf6v9FdJcLv80H2AN4O/Fk7FtfRXenF7/MifwAfojsv4Tt0M+IXzsf3d1Qfc/XwTqeSJElSj7kkRpIkSeoxE3ZJkiSpx0zYJUmSpB4zYZckSZJ6zIRdkiRJ6jETdkk6CCT5sSTVbvS0P+0faO1/7MCOrB+SfLK9vwv2o+0Fre0nD/zIJGm8peOrSJI0P5KsBC4AHq2qdy3oYCSpJ5xhlyTB0zeC+eYCj2Ml8CvAzx/guF+he3+PHeC4kjTnnGGXJFFVZyz0GOZSVb1xoccgSfvLGXZJkiSpx0zYJWkOJVmW5C1J/iTJo0m+k+Qvk/xpkiuSvHyg7q+2kxs/MEu8D7Q6vzqm359McnuSPUn+Jsmnk/z0LPVnPem0vY+Lk/xRkkeSPJHkfyZ5X5J/OmYsy5O8Pcnd7TP4ZpI/T7IlyfrBMQC3t5cvauMZfFwwWz9jxjDrSadJvi/JVUm+muTbSXYm+Y0kR+xvn5J0oLgkRpLmSJKlwB8Ar2hFRbeGejnwQuAH2/anD3C/bwHeNdDfc4FTgVOTvLyq/v0+xjsG+Bjwz1rRd4FvACcAPwOcl+T1VfXhIW1/FPgI3fsEeBL4NrC6PV4HpO3bDbwAOLL1sXtGuG/ty7gn1f7g+BSwohV9A/iHwH8AfhJ4z1z0K0mTcoZdkubOT9Ml698E3gA8r6qOBA4DXgRcDPzpAe5zBfCfgGuBY1p/RwP/pe2/eLaZ9pmSPBu4iS5Z/0PgNOC5VfUCuqT2vwDPAa5L8o9mtP1HwEfpkvV7gNPpPoPDgaOAs4C/TfKr6mXAa9rLB6vqH854XL8Pn8O+vL8b6T63ncArqur5wPOBVwOHA2870P1K0r5whl2S5s6p7fnaqvqd6cKqeoruqiVXzEGfzwM+AVxQVdX62wP8n0mOBs4H3p7kQ9P7xzgfeBlwF3BmVT0xvaOq/rLFfR7wJroZ6YsH2v5HuhnzPwdOq6rHB9ruofv14Q/2+50eGBuANXQz/6+sqh0AVfVd4P9L8lN0f6hI0oJxhl2S5s5ft+dj5rnf/zgiGb+8PZ/I08tbxjm/PV8xmKzP8MH2/K+mC5I8H/hf28u3DSbrPXNue/7wdLI+qKr+CBN2SQvMhF2S5s7H2vP6JFuTvCbJ8llb/P19B/jjYTuq6j7ga+3lS8YFamvwT2kvfyPJXwx70K1RBzh+oPlaul9xC/j4fryP+TL9OXxqljqz7ZOkOWfCLklzpKo+Rbf+eS/dyYu/Dzyc5EtJ/nOS1XPQ7cNV9eQs+7/anlfMUmfaUcCyge3vHfE4utV57kDb723Pj1VVn29WNP05PDRLna/Osk+S5pwJuyTNoar6NeAfA5cCt9Itk/l+4P8A7k0y3zf0yfgqf2vw34h/VlUZ99jPfvruYHovkhYhE3ZJmmNVdX9VvbOq1tHNVP843bropcCVSV7Yqu5tz8+ZJdzhY7o7OsmyWfZPr6efecnEYf4KeKptr5mg/qC/aM+HJxk35oU0/Tl83yx15vscBEn6O0zYJWkeVdVTVfVJ4Cfo1pt/D916b4BH2/Nxw9omCfDSMV08G3j5sB1JTuTpxPSzE4z1O8C29vI1s9UdYhvdHyABzt6Hdt9tz/M1qz39OZw2S51XzLJPkuacCbskzZExM91P8vTs9WHt+Qvt+WXtZkUzvZ6/e2LnKJe25P4Z5e35Pia//vsH2vNPJfnx2SomOXJ6u6r+hqdPRn17kn8wYX/TV9aZr1n532vPrxl2TkGSH2H2ZF6S5pwJuyTNnWuTvD/JWYMJa5KVwDV0S1++BfxR2/XHdCc/LgM+lGRVq/+8JD8L/DawZ0yf36S7QdHV00ttkhyRZBPwb1udX53wGuwAVwOfofv34qNJ3pLkqIH38sIk5yX5JPCWGW3/L+BxujX8f5jkx5M8a2BMr0py84w299H98nB4uwb6XLseuJfuj6ZbkvyLNr5nJXkV3Y2d/nqW9pI050zYJWnuPAe4gO6yho8l2ZPkG8D9wOvoZth/tqoeBqiqvXQ3Hvou3TKMnUkeAx4DfpPueudbx/S5G/hF4GeAv0jyCN1a9F9s+6+oqg+OajxTWxaznu6PiecB76K70s0jSR4H/rKN6xV0l3AcbDvV2j4KnAzcBnwzyaN0f3h8FHjljDbfAD7UXt6Y5NEkD7THuRxg7f29lu5zOxH4o/a+/qaN73HgsgPdryTtCxN2SZo7G+kS5Y/T3fZ+GbAE+DLwfuAlVXXdYIOq+ghwJnA7XbK4BLgH+HdVdeEknVbVu4BX010//FnAt+lmyf9NVV08W9sR8b5Ol5C/HrgF+DrwfLp15n9GNwv/SuD/GdL2duCfAJuAL9Kta19Kd/fTD7VxzvRzdHdJ3UE38/2i9nj+vo59ElV1L90fFO+lu079s+lOmt1Md5fXR+aiX0maVCb/VVSSdLBKsgs4FviRqvr0Qo9HkvQ0Z9gl6RDX7mg6fQOhry/kWCRJz2TCLkmHsHYS6L+nW66zm259vSSpR0zYJekQleQy4BvAb7Sid1fVd2dpIklaAEsXegCSpAXzArp/B+6jO3H01xd2OLNr10T/8D42e01V/clcjEeS5osJuyQdoqrq54GfX+hx7INlwPfuRxtJWtS8SowkSZLUY65hlyRJknrMhF2SJEnqMRN2SZIkqcdM2CVJkqQeM2GXJEmSesyEXZIkSeqx/x/fe9T49xolVAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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Y0d2Hq+rKJHck2ZLkHd19X1VdneSe7t6X5MYkN1fVgcxmlndPh39bkr1V9YUkX0zyv3X3I2vxRgAAYC0sdIm37t6fZP+ytqvmtp9IcukKx92c5OZnWSMAAGwYd/oDAIABgRkAAAYEZgAAGBCYAQBgQGAGAIABgRkAAAYEZgAAGBCYAQBgQGAGAIABgRkAAAYEZgAAGBCYAQBgQGAGAIABgRkAAAYEZgAAGBCYAQBgQGAGAIABgRkAAAYEZgAAGBCYAQBgQGAGAIABgRkAAAYEZgAAGBCYAQBgQGAGAIABgRkAAAYEZgAAGBCYAQBgQGAGAIABgRkAAAYWCsxVdWFV3V9VB6pq7wr9p1bVrVP/XVW1Y2r/zqq6t6o+MD2+YXXLBwCAtXXUwFxVW5Jcn+SiJOcluayqzls27Iokj3X3OUmuS3Lt1P5Iku/t7m9IcnmSm1ercAAAWA+LzDCfn+RAdz/Q3U8muSXJrmVjdiW5adq+LckFVVXd/b7ufmhqvy/Jc6vq1NUoHAAA1sMigfmMJA/O7R+a2lYc092Hkzye5PRlY34gyfu6+/PPrFQAAFh/WxcYUyu09bGMqapXZLZM47tWfIGqPUn2JMn27dsXKAkAANbHIjPMh5KcNbd/ZpKHjjSmqrYmOS3Jo9P+mUn+nyQ/0t0fXekFuvuG7t7Z3Tu3bdt2bO8AAADW0CKB+e4k51bV2VV1SpLdSfYtG7Mvsy/1JcklSe7s7q6qFyW5Pclbu/u3V6toAABYL0cNzNOa5CuT3JHkw0l+ubvvq6qrq+r7pmE3Jjm9qg4k+fEkS5eeuzLJOUl+sqreP/185aq/CwAAWCOLrGFOd+9Psn9Z21Vz208kuXSF4/5Zkn/2LGsEAIAN405/AAAwIDADAMCAwAwAAAMCMwAADAjMAAAwIDADAMCAwAwAAAMCMwAADAjMAAAwIDADAMCAwAwAAAMCMwAADAjMAAAwsHWjC4D1tmPv7cc0/uA1F69RJQDAicAMMwAADAjMAAAwIDADAMCAwAwAAAMCMwAADLhKBhyFq2oAwOZmhhkAAAYEZgAAGBCYAQBgQGAGAIABX/p7Fo71y2AAAJx4zDADAMCAwAwAAAMCMwAADAjMAAAwIDADAMDAQoG5qi6sqvur6kBV7V2h/9SqunXqv6uqdkztp1fVu6rqM1X1s6tbOgAArL2jBuaq2pLk+iQXJTkvyWVVdd6yYVckeay7z0lyXZJrp/YnkvxkkresWsUAALCOFplhPj/Jge5+oLufTHJLkl3LxuxKctO0fVuSC6qquvuz3f1bmQVnAAA44SwSmM9I8uDc/qGpbcUx3X04yeNJTl+NAgEAYCMtcqe/WqGtn8GYI79A1Z4ke5Jk+/btix4Gx6VjvQPkwWsuXqNKAIDVsMgM86EkZ83tn5nkoSONqaqtSU5L8uiiRXT3Dd29s7t3btu2bdHDAABgzS0SmO9Ocm5VnV1VpyTZnWTfsjH7klw+bV+S5M7uXniGGQAAjldHXZLR3Yer6sokdyTZkuQd3X1fVV2d5J7u3pfkxiQ3V9WBzGaWdy8dX1UHk3x5klOq6vuTfFd3f2j13woAAKy+RdYwp7v3J9m/rO2que0nklx6hGN3PIv6AABgQ7nTHwAADAjMAAAwsNCSDGDtuAwdABzfzDADAMCAwAwAAAMCMwAADAjMAAAwIDADAMCAwAwAAAMCMwAADAjMAAAwIDADAMCAwAwAAAMCMwAADAjMAAAwIDADAMCAwAwAAAMCMwAADAjMAAAwIDADAMCAwAwAAAMCMwAADAjMAAAwsHWjCwDW1o69tx/zMQevuXgNKgGAE5MZZgAAGDDDPOeZzMTBevM5BYD1JTADX+JYQ7klHACczCzJAACAAYEZAAAGLMkA1p0lHwCcSBYKzFV1YZJ/nWRLkp/r7muW9Z+a5J1JviXJJ5O8sbsPTn1vTXJFkqeS/L3uvmPVqgeOC76ICMDJ7KiBuaq2JLk+yXcmOZTk7qra190fmht2RZLHuvucqtqd5Nokb6yq85LsTvKKJF+d5D9X1dd091Or/UaAk5cZaQA20iIzzOcnOdDdDyRJVd2SZFeS+cC8K8nbpu3bkvxsVdXUfkt3fz7Jx6rqwPR8712d8gGePTd3AWBkkcB8RpIH5/YPJXnNkcZ09+GqejzJ6VP77y479oxnXC3AAtZjichaz3qbVT86v6Oj8ztiI5yMn7tFAnOt0NYLjlnk2FTVniR7pt3PVNX9C9S1ml6S5JF1fk2OPz4HJGv0OahrV/sZ1/f5TwbH+DvalOcDn6MvsSk/B+ttgz93L1tk0CKB+VCSs+b2z0zy0BHGHKqqrUlOS/Logsemu29IcsMiBa+Fqrqnu3du1OtzfPA5IPE5YMbngMTngKctch3mu5OcW1VnV9UpmX2Jb9+yMfuSXD5tX5Lkzu7uqX13VZ1aVWcnOTfJ761O6QAAsPaOOsM8rUm+MskdmV1W7h3dfV9VXZ3knu7el+TGJDdPX+p7NLNQnWncL2f2BcHDSX7MFTIAADiR1GwieHOrqj3TshA2MZ8DEp8DZnwOSHwOeJrADAAAA4usYQYAgE1r0wfmqrqwqu6vqgNVtXej62F9VNVZVfWuqvpwVd1XVW+e2r+iqv5TVX1kenzxRtfK2qqqLVX1vqr6D9P+2VV11/QZuHX6sjMnsap6UVXdVlV/OJ0TvtW5YPOpqn8w/X3wwar6pap6rvMBSzZ1YJ677fdFSc5Lctl0O29OfoeT/MPu/p+SvDbJj01/9nuT/EZ3n5vkN6Z9Tm5vTvLhuf1rk1w3fQYeS3LFhlTFevrXSX69u78uyTdl9nlwLthEquqMJH8vyc7u/vrMLnKwO84HTDZ1YM7cbb+7+8kkS7f95iTX3Z/o7t+ftv9bZn9BnpHZn/9N07Cbknz/xlTIeqiqM5NcnOTnpv1K8oYkt01DfAZOclX15Ulel9nVntLdT3b3p+JcsBltTfK86X4Sz0/yiTgfMNnsgXml2367dfcmU1U7knxzkruSfFV3fyKZheokX7lxlbEOfibJTyT54rR/epJPdffhad854eT38iQPJ/n5aWnOz1XVC+JcsKl09x8n+ekkH88sKD+e5N44HzDZ7IF5oVt3c/Kqqhcm+ZUkf7+7P73R9bB+qup7kvxZd98737zCUOeEk9vWJK9K8m+7+5uTfDaWX2w60xr1XUnOTvLVSV6Q2XLN5ZwPNqnNHpgXunU3J6eq+rLMwvIvdvevTs1/WlUvnfpfmuTPNqo+1txfTfJ9VXUws+VYb8hsxvlF0/+STZwTNoNDSQ51913T/m2ZBWjngs3lf0nyse5+uLu/kORXk/yVOB8w2eyBeZHbfnMSmtaq3pjkw939r+a65m/zfnmS/2+9a2N9dPdbu/vM7t6R2X/7d3b330ryriSXTMN8Bk5y3f0nSR6sqq+dmi7I7O60zgWby8eTvLaqnj/9/bD0OXA+IIkbl6SqvjuzWaWl237/8w0uiXVQVd+W5DeTfCBPr1/9x5mtY/7lJNszO4Fe2t2PbkiRrJuq+o4kb+nu76mql2c24/wVSd6X5Ie6+/MbWR9rq6pemdkXP09J8kCSv53ZhJJzwSZSVW9P8sbMrqL0viT/a2Zrlp0PEJgBAGBksy/JAACAIYEZAAAGBGYAABgQmAEAYEBgBgCAAYEZ4Fmqqu+oqp5ugnLcqqpTquonq+rDVfXEVHNPfSfEewDYCFuPPgSAk8T1mV1bNpndAvpTG1hLqmpHkh9N8qnu/pmNrAVgxAwzwCZQVadlFk6T5Ae6+4Xd/Ze7+y9PbZ9Lcn+Sj65jWTuS/JMkf38dXxPgmJlhBtgcvjazc/4nu/tXl3d29+8l+bp1rwrgBGCGGWBzeN70+JkNrQLgBCQwA5tSVX10+pLbd6/Q97NLX4irqvNX6L9l6nvbEZ77e6vqXVX1WFV9pqreW1U/uEBNr6mqd1bVwelLeY9U1e9X1U9V1dc+w/f5o9MX+949Nb1s7r11Vf3oNO6IX/qrqncvja2qF1XVtVX1h1X1uar61Ny4U6rqzVX1O1X1qar6QlX9aVX9QVVdX1XfOjf2YJJ3HaGmP68L4HhgSQawWb0nycuTvD7J/mV9r5vbfn2S3ztC/3uWP2lVvTnJzyTpJI9nNrP72iSvrapv7e7/fYVjKsk1SX5irvnTSf5Skm+efl6ap9cgH4v/nuRPk5yS5MVJvpjk4WX9i9qW5N7Mfm+fT/LkUkdVbU3yHzP7fSVPv//Tk3xlkm+ctt879T+c5MuPUNOx1gWwpswwA5vVf5keXz/fWFWnJ/n6JP/tCP3nZhZen0zyu8uec1uS/yPJO5O8tLtfnOQlSf7Pqf/KI8w0vyVPh+V/m2RHd5+WWdjekeRNST5yDO/tz3X3rdMX+/7G1PTg0pf9pp9bj+HprkryZUkuSvL87v7yJDunvh/M7Hf1uSQ/PPW/OMmpSV6W5MokfzBX16sHNR1rXQBrygwzsFktzQ5/S1W9sLuX1vZ+e5JK8otJ/maSb6uqLd391NS/FKB/r7uXz4I+P8l/SvKj3d1J0t2PJXlLVb0kyeVJ3l5Vv7TUPwX0t03H/1R3/+OlJ+vuLyb5oyT/blXe8bN3apLv7u4PLjV094Fp87XT4zu7+xfm+p9K8vHMLmkHcEIywwxsSt39sSQPZjZx8FfmupYC8buS/FaS05J80wr9X7IcY/JTS2F4mX8+PZ6z7PkuzSxoP5bkny5a/wb5tfmwvMynp8eXrlcxAOtFYAY2s5WWZcwH4vccpX+5LyT57ZVeqLs/kuQT0+6r5rqWZmbftcKM9fHmvYO+X5sed1XVvqr6G9PsOcAJT2AGNrO/EJinm3t8U5I/7O4/zbLAXFVnJzkryeEkv7PC8z3S3U+u0L7kj6fHbXNtXzU9fvyYq19/y7+Y9+e6+z2ZrXE+nOR7k/xKkkem23D/9LT2G+CEJDADm9lSIH51VT0vs/XLz5lrf39mSw1eN13JYml2+d7u/uwzeL1asO149dSos7v/aZKvSfLWJHdk9rv7uiT/MMmHqupH1rxCgDUgMAObVnffn+RPMrvk2rfm6UD87qn/qczWMb84yTfk6OuXX1JVpwxecml97/xM7Z9Mjy87ltqPV939se6+prsvTPIVSf7nzGbytyb5N1X1lRtaIMAzIDADm91vTo+vz8qB+L8cpX/el2UWvL9EVZ2T5Kun3d+f61q6NN13TLPcJ43ufqq7353kezJb3/2CPH0ZumR2/eXkxJplBzYhgRnY7JbC7/dk9mW8/7+7P7FC/w8nOTuzZQm/NXi+t07LN76kfXr8SOauR5zk32d2k44XZ7YG+IR0lJn1J/P0co5T59qXrqxx2poUBbBKBGZgs1uaQX5Vki350tnje5J8Nsmrp/33d/ens7LPJXlDkhuXlh4s3Uo6yd+Zxrxt/rJz3f3JJG+fdvdOt+XePh37nKraXlU/XlXHe5h+Z1X9fFX9tar6S0uNVbUjyU1JnpvZPwx+c+6Yj2Q283xaVf3AOtYKcEwEZmCz+2CST87tv3u+s7uXXxHjSMsxktna5J9I8reT/ElVPTo999Jd/K7v7v97heP+ZWa3006SH0vyR1X1qcwC5h9ldqfAly/yZjbQczO7dfevJ3m8qh6rqs8m+ViSN2Y2w/x3u/uRpQOmL07+0rR7W1V9qqoOTj+XrG/5AEcmMAOb2jTbOz/ruVIgXmlN85Ge72eSfN90zHOSPJHZOuUf6u4rj1RDd/+DJK9Lcmtml597XpLHM1vv/C/y9I1Pjld7M/uHwa8neSCzL1JuSfLRJD+f5FXdffMKx70pyU8luT9P30b7ZUleuA41AyykVr4hFQAAkJhhBgCAIYEZAAAGBGYAABjYutEFALCYqjoryd3HeNibu/vWtagHYLMQmAFOHFuSfNUxHnNS3T0QYCO4SgYAAAxYwwwAAAMCMwAADAjMAAAwIDADAMCAwAwAAAMCMwAADPwPn8wXoWzo40wAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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Th6d5tvOvJfm5qro5szNUvWg1o7FCB/vf7pXa0qnVDjPzXB56rktIc1ibextW1c8l2Z3kiUudiGU44HauqntkdqjTOasaiIWb5+/yjsx+rfqkzH7Dc21VPbq7b1/ybCzOPNv5rCSXdPcrqurxSX5v2s7fXv54rMhh3V9H057heS4P/Z11qmpHZr+OOdBufQ4/c10GvKqemuSlSZ7d3V9b0Wwszmbb+b5JHp3kmqr6ZJLTk1zlQ3RHlHl/Zl/Z3d/o7r9O8vHM4pgjxzzb+dwkVyRJd78vyXFJTlzJdKzKXP/t3i5HUwzPc3noq5KcPd1/bpJ3tRMtH2k23c7Tr8//W2Yh7BjDI9MBt3N339HdJ3b3ru7eldmx4c/u7j3bMy6HYJ6f2X+c5CeSpKpOzOywiU+sdEq2ap7t/OkkT0mSqnpUZjG8d6VTsmxXJfkn01klTk9yR3ffst1DrTlqDpPY6PLQVfUfkuzp7quSXJzZr19uymyP8JnbNzGHYs7t/J+T3CfJH0yfj/x0dz9724bmoM25nTmCzbmN357k6VX1sSTfSvKvuvsL2zc1B2vO7fyrSX6nqn4ls1+dn2NH1ZGlqi7L7HCmE6djv1+W5J5J0t2/ndmx4M9MclOSLyd5wfZMuj5XoAMAYFhH02ESAABwUMQwAADDEsMAAAxLDAMAMCwxDADAsMQwcFSpqmuqqqvqnH2W7ZqWHfWnz6mqY6vq31fVDVX11X2/76p60vT4k9s8JsBh46g5zzAASZLXJvln0/3/m8SliwEOQAwDI/hGZpfyPapV1f2TnDM9/Knu/qNtHAfgiCCGgaNed/9Nkh/Y7jlW4Psz+7n+BSEMMB/HDAMcPY6fbu/c1ikAjiBiGDjqbfQBuqq6cVr+wk1e//ZpvVeu89yxVfXCqrq2qr5YVV+rqk9V1eur6lEbvN8l0/v9WlV9V1W9tKo+UlVfmpafcJDf3znT93bNtOi7177f/T9MeID3uE9VPa+q3lBVH62q26vqK1V1U1VdVFWnbvL646fv5+PTB/duqao3VdWjR/oAI3DkEcPAyC6bbn9moxWq6sFJnjI9fON+z52U5E+T/Jckfz/J/ZN8LcnDk7wgyZ9V1T8+wNc/Lsl7kvxmZodxfOvgv4UkyVeSfC7JbdPjb0+P1/58ZY73OCfJFZn9s/jBzP77cI8k35vkF5JcV1VPXe+F07HK1yZ5WZJHJqkk90ry00nen+THDuF7AlgJMQyM7A3T7eOratcG6zwvyTFJbuzuPWsLq+qeSa5M8pjMgvYfJDm+u++X5KFJXpFZ7P5eVX3vBu/9i5nF45lJ7tPdJyTZldlZIObW3Zd390OTrIX3Z7r7ofv8uXyOt/lCZlH/Y0lOmL6P45I8KrN/TvdO8saquvc6r31Nkr87zf3z0/dy/ySPTvLnmZ3hAuCwJIaBYXX3x5NcNz08a4PV1pa/cb/lZyf5e0k+mOTp3X1td399et/Pdfe/TPJbme0h/ZUN3vs+SX56itm1136qu79xSN/QFnT3Zd39S939vu6+Y1rW3f0XmQXunyTZmeS5+76uqr5nej5Jzuvu31+bv7uvT/KMzLdnGmBbiGFgdGuRe7cYrqqH565f8a8Xw0ny2u7+2ibv/bQNnv9Id//PeQfdLt3dSd4yPXzCfk//o8wOi/hM7jrsZN/X3pHkt5c6IMAWOLUaMLrLklyY5Ieq6tHd/dF9njsrs9D7UHf/5drCqtqR5HHTw1dW1YUbvPcx0+0pGzz/vkMfe/Gq6uQkL0ry1MyOFb5v7r7T5O/s9/ix0+17p2hez7ULGxJgwcQwMLTu/puqujbJEzOL35fu8/RGh0g8MMmx+9zfzPEbLN8775zLVlVPTHJ1ZodurLkjyVen+8cnuV9mxw7v68Tp9pYDvP1nFzEjwDI4TAJgnUMlptOiPSazMzO8ab/19/3Z+Zjurs3+bPB1D/XsEQs1fRjw9zML4T/JXR8GPGHtQ3hJXry2+v4vX92kAIsnhgGSP0jy9SSPqKrTp2VrYfy/unv/PZtfyF0he9oK5lu2xyc5OckXk5wxfRjwq/ut85ANXru2d/ukA7z/gZ4D2FZiGBhed9+W5O3Tw7VzDp853e5/iESmsyWsnWbtQOcRPlKcPN3+ZXd/eYN11j3HcO46G8cTqmqjvcQ/fsiTASyZGAaYWYve5097h0/NbG/xH26w/iXT7U9V1U8c6I2r6gELmXB57phuT62q4/Z/sqqenmSj7/GPk3RmHxJ8/jqvvV+Sf76gOQEWTgwDzFyV5M7MDgdYu0jE26a9xuu5OLOrq90jydVVdX5VfefDdFX14Ko6q6quSXL+8sZeiPcm+XKSByX53enKemuXWP6nmf0PwRfWe2F3/1XuunjJ66rqZ6azbaSqTkvytszOtQxwWBLDAEmmwwOunB7+6HR7t0Mk9ln/G0nOyCwk75Xk1Uk+X1VfrKovZXYZ5DdmdpaKjU45dljo7tuTvGR6+Lwkn62q25P8bWbRf1OSXz/AW7woyYcz+wDeG5LcOb3++iQ/nORfTOt9ffHTA2yNGAa4yxv2uX9nkv9xoJW7+9bMYvdnk7w1ya2ZBWEl+YvMQvKZSf7jMoZdpO5+TWbHP6/tJd6R2ffwsswuPPKlA7z29swuxvEbmYVzZXZKtssyOx/zDdOqty9pfIBDVhufIx0Atq6qzk3yuszOzPGkbR4H4P9jzzAAS1NVx+auY6bfsZ2zAKxHDAOwJVX18Kr671X141V172lZVdXjMjtl3Q9ldsaKi7dzToD1OEwCgC2pqu9LcuM+i25Pctz0J5kdP/y87r561bMBbEYMAxxGquqUJB88yJed392XL2OeeVTVvTI7l/DTk/xAkp2ZfYju5iTvSvKK7r5x43cA2D5iGOAwUlW7kvz1Qb7sBd19ycKHARiAGAYAYFg+QAcAwLDEMAAAwxLDAAAMSwwDADAsMQwAwLDEMAAAw/p/9N4JGvjn3rkAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot the rest of the distributions\n",
    "for col in df.columns:\n",
    "    if df.dtypes[col] in ('int64','float64'):\n",
    "        plt.figure(figsize=[12,6])\n",
    "        plt.hist(df[col].dropna(), bins=50, normed=True)\n",
    "        plt.xlabel(col,fontsize=24)\n",
    "        plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "# apply corrections\n",
    "df.loc[df['age']>89, 'age'] = 91.4"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 3 - Write to file"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "df.to_csv('aline_data.csv',index=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 4 - Create a propensity score using this data"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We will create the propensity score using R in the Jupyter Notebook file `aline_propensity_score.ipynb`."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "conda_amazonei_mxnet_p27",
   "language": "python",
   "name": "conda_amazonei_mxnet_p27"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.15"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
